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adell [148]
3 years ago
5

If HI = 7, find KL.

Mathematics
1 answer:
tamaranim1 [39]3 years ago
5 0

Answer:

14

Step-by-step explanation:

(I go to a french school, so excuse my terminology, which might not always be correct)

The angle we can see, in GHI, is equal to 121°. JKL has an identical angle, meaning JKL is an enlargement (probably the wrong term, I apologise) of GHI. This means we can use the length of it's sides to find KL.

GH and GI are both multiplied by two (GH = 4 becomes JK = 8, GI = 5 becomes JL = 10) meaning you must multiply HI by 2 to find KL.

2*7 = 14

KL = 14  

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Given:

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\begin{gathered} \text{ar}^{2-1}\text{ = 18} \\ ar\text{ = 18} \\  \\ ar^{5-1}=\text{ 144} \\ ar^4\text{ =144} \end{gathered}

Divide the expression for the fifth term by the expression for the second term:

\begin{gathered} \frac{ar^4}{ar}\text{ = }\frac{144}{18} \\ r^3\text{ = }\frac{144}{18} \\ r\text{ = 2} \end{gathered}

Substituting the value of r into any of the expression:

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a_n\text{ = 9\lparen2\rparen}^{n-1}

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1 year ago
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−Step-by-step explanation:

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